Newer milestone thread - Page 34

ATH · 2012-01-05, 14:29

Countdown to testing all exponents below M(42643801) once: 96
Countdown to testing all exponents below M(43112609) once: 132

Soon we have tested all exponents below all the known primes once. This have not happened since July 25th 2001 to November 14th 2001 when all exponents below M(6972593) was tested once before M(13466917) was found.

The only other time without first time milestone was September 26th 1998 to June 1st 1999 when all exponents below M(3021377) was tested once before M(6972593) was found.

Code:

December 25, 2010:    All exponents below M(37156667) tested at least once. 
December 25, 2010:    All exponents below M(32582657) tested at least once.
July 29, 2010:        All exponents below M(30402457) tested at least once. 
April 12, 2009:       Prime M(42643801) discovered!! 
April 8, 2009:        All exponents below M(25964951) tested at least once. 
February 23, 2009:    All exponents below M(24036583) tested at least once.
September 6, 2008:    Prime M(37156667) discovered!! 
August 23, 2008:      Prime M(43112609) discovered!! 
July 4, 2008:         All exponents below M(20996011) tested at least once. 
September 4, 2006:    Prime M(32582657) discovered! 
December 15, 2005:    Prime M(30402457) discovered! 
February 18, 2005:    Prime M(25964951) discovered! 
October 3, 2004:      All exponents below M(13466917) tested at least once. 
May 15, 2004:         Prime M(24036583) discovered!
November 17, 2003:    Prime M(20996011) is discovered! 
November 14, 2001:    Prime M(13466917) is discovered! 
July 25, 2001:        All exponents below M(6972593) tested at least once.
June 1, 1999:         Prime M(6972593) is discovered! 
September 26, 1998:   All exponents below M(3021377) tested at least once. 
September 19, 1998:   All exponents below M(2976221) tested at least once.
January 27, 1998:     Prime M(3021377) is discovered! 
October 11, 1997:     All exponents below M(1398269) tested at least once.
August 24, 1997:      Prime M(2976221) is discovered! 
November 13, 1996:    Prime M(1398269) is discovered!

petrw1 · 2012-01-05, 15:42

Quote:

Originally Posted by ATH

Countdown to testing all exponents below M(42643801) once: 96
Countdown to testing all exponents below M(43112609) once: 132

Soon we have tested all exponents below all the known primes once.

Except for the notorious reputation of this project to take a LONG time on the last few assignments.

i.e. the last few below 40M (now 16) has only dropped by 4 in the last 3 months
http://www.mersenne.info/exponent_st...90/2/30000000/
after dropping 25 in the previous 3 months:
http://www.mersenne.info/exponent_st...80/2/30000000/

Dubslow · 2012-01-05, 23:33

I believe this might be of interest. Of the 120 or so left below M47, the vast majority of those are owned by curtisc, and have been lost in P-1-MaxHighMemWorkers-dance-hell-purgatory. That is to say, they're all waiting to begin S2 P-1. As soon as we get this worked out, those numbers should drop quickly.

As for the ones that aren't curtisc, I suggest that for all remaining below M47, or even below 45M, should, instead of being just 'preferred' exponents, only be released to those who meet some stricter criteria, like 'Top 100 LL for lat year' or 'active MersenneForum participant' or any other criteria that would churn them through in the next few months. But of course this is up to George.

(Also petrw1, at the time of this post, it has gone up to 4 in the last three months

)

NBtarheel_33 · 2012-01-15, 11:37

This snippet from last month was on my desktop, waiting to be posted in a more timely manner. Alas, it fell into the cracks for which the holidays are so well known...

Code:

All exponents below 24,052,939 have been tested and double-checked. 
All exponents below 38,103,407 have been tested at least once. 
Countdown to testing all exponents below M(42643801) once: 107 
Countdown to testing all exponents below M(43112609) once: 147 
Countdown to proving M(25964951) is the 42nd Mersenne Prime: 2,828 
Countdown to proving M(30402457) is the 43rd Mersenne Prime: 60,472 
Countdown to proving M(32582657) is the 44th Mersenne Prime: 106,409 
Countdown to proving M(37156667) is the 45th Mersenne Prime: 199,920 
Countdown to proving M(42643801) is the 46th Mersenne Prime: 314,158 
Countdown to proving M(43112609) is the 47th Mersenne Prime: 324,147

You'll no doubt notice that, as close as is possible, there are e thousand exponents remaining below the M42 milestone, and pi hundred thousand exponents remaining below the M46 milestone. Of course, things have improved since then, but I thought that it was quite a coincidence that e and pi came up like this at the same time.

Dubslow · 2012-01-15, 12:42

Actually, 100 000*pi = 3141592... which rounds to 314159.

Also Google reports e as
2.71828183 =/= 2.828...

(Insert requisite comment about base 10 representations of the countdown and e/pi, or equivalently, the special significance of pi/e*10^x. [Insert requisite comment about how e/pi and pi/e could be easily misinterpretated, as well as the reasonable alternative e-pi/pi-e. Now I'm just throwing the -blam!- at the fan.

])

NBtarheel_33 · 2012-01-17, 05:00

Quote:

Originally Posted by Dubslow

Actually, 100 000*pi = 3141592... which rounds to 314159.

Also Google reports e as
2.71828183 =/= 2.828...

Heavens to Betsy. I promise, I really do have an advanced math degree. When looking at "2828", no doubt, I was thinking of the first few *digits* of e: 2.71828, but just forgot about the "71". Oh well, not so exciting then.

As for the pi milestone, I had a screen shot at 314,159, but then lost it when I accidentally refreshed the milestones page. So 314,158 had to be close enough for government work.

In other news, with GPUto72 mowing down the exponents, all of the milestone paces have been picking up as of late. Linear regression based on YTD 2012 data puts the M46 and M47 milestones back within 2017; they had drifted into mid-2018 based on last year's data.

Dubslow · 2012-01-17, 18:36

Quote:

Originally Posted by NBtarheel_33

As for the pi milestone, I had a screen shot at 314,159, but then lost it when I accidentally refreshed the milestones page. So 314,158 had to be close enough for government work.

lolololololololol government

bcp19 · 2012-01-18, 18:59

Quote:

Originally Posted by NBtarheel_33

So 314,158 had to be close enough for government work.

Obviously, you have never worked in the Government, otherwise you'd know that 300,000 is close enough to 314,159.

NBtarheel_33 · 2012-02-05, 08:42

The countdown to establishing M44's place in line is now under 100,000:

Countdown to proving M(32582657) is the 44th Mersenne Prime: 99,881

Uncwilly · 2012-02-07, 07:23

On 11/11/11

Quote:

Originally Posted by Uncwilly

All exponents below 22,545,883 have been tested and double-checked.
All exponents below 38,103,407 have been tested at least once.

Countdown to testing all exponents below M(42643801) once: 148
Countdown to testing all exponents below M(43112609) once: 201

Countdown to proving M(24036583) is the 41st Mersenne Prime: 2
Countdown to proving M(25964951) is the 42nd Mersenne Prime: 3,524

Today: (note most of the amounts left to go are 1/2 what they were on 11/11/11)

All exponents below 22,545,883 have been tested and double-checked.
All exponents below 38,103,407 have been tested at least once.

Countdown to testing all exponents below M(42643801) once: 74
Countdown to testing all exponents below M(43112609) once: 101

Countdown to proving M(25964951) is the 42nd Mersenne Prime: 1,539
Countdown to proving M(30402457) is the 43rd Mersenne Prime: 53,637

LaurV · 2012-02-07, 07:51

I think the lower limits are much higher, in fact there is nothing under 24052939, which is NOT doublechecked. There are some assignments, like 22985741, 23492803, 23492849, 23493721, 23494547, 23562067 and 24029771 which are not completed, but they are "triple checks", because they took too long and some curious guys poached them in the meantime and completed the doublechecks.

2012-01-05, 23:33	#366
Dubslow Basketry That Evening! "Bunslow the Bold" Jun 2011 40<A<43 -89<O<-88 16065₈ Posts	I believe this might be of interest. Of the 120 or so left below M47, the vast majority of those are owned by curtisc, and have been lost in P-1-MaxHighMemWorkers-dance-hell-purgatory. That is to say, they're all waiting to begin S2 P-1. As soon as we get this worked out, those numbers should drop quickly. As for the ones that aren't curtisc, I suggest that for all remaining below M47, or even below 45M, should, instead of being just 'preferred' exponents, only be released to those who meet some stricter criteria, like 'Top 100 LL for lat year' or 'active MersenneForum participant' or any other criteria that would churn them through in the next few months. But of course this is up to George. (Also petrw1, at the time of this post, it has gone up to 4 in the last three months ) Last fiddled with by Dubslow on 2012-01-05 at 23:35

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2012-01-15, 12:42	#368
Dubslow Basketry That Evening! "Bunslow the Bold" Jun 2011 40<A<43 -89<O<-88 3×29×83 Posts	Actually, 100 000pi = 3141592... which rounds to 314159. Also Google reports e as 2.71828183 =/= 2.828... (Insert requisite comment about base 10 representations of the countdown and e/pi, or equivalently, the special significance of pi/e10^x. [Insert requisite comment about how e/pi and pi/e could be easily misinterpretated, as well as the reasonable alternative e-pi/pi-e. Now I'm just throwing the -blam!- at the fan. ])

2012-02-05, 08:42	#372
NBtarheel_33 "Nathan" Jul 2008 Maryland, USA 5×223 Posts	The countdown to establishing M44's place in line is now under 100,000: Countdown to proving M(32582657) is the 44th Mersenne Prime: 99,881

2012-02-07, 07:51	#374
LaurV Romulan Interpreter Jun 2011 Thailand 3·3,221 Posts	I think the lower limits are much higher, in fact there is nothing under 24052939, which is NOT doublechecked. There are some assignments, like 22985741, 23492803, 23492849, 23493721, 23494547, 23562067 and 24029771 which are not completed, but they are "triple checks", because they took too long and some curious guys poached them in the meantime and completed the doublechecks.